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Finding the Fourth Proportional to 61.67, 85.17 and 55.19

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Solution

The fourth proportional to 61.67, 85.17 and 55.19 is: 76.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.67 : 85.17 = 55.19 : x
  2. Step 2: Convert to fraction form
    61.67/85.17 = 55.19/x
  3. Step 3: Cross multiply
    61.67x = 85.17 × 55.19
  4. Step 4: Simplify right side
    61.67x = 4,700.11
  5. Step 5: Solve for x
    x = 4,700.11/61.67
  6. Step 6: Final answer
    x = 76.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.